Optimization of multi-criteria decisions

The article deals with multi-criteria decisions for optimization in construction industry. A method for finding optimal decisions is offered. The optimization problems involve great difficulty as multi-criteria requirements are placed on their optimal solutions. Changes and additions are constantly made in multi-criteria decisions that cause the need for a rapid analysis of their optimality. The methods of making optimal decisions and details are coordinated at each stage of implementing. The requirements on criteria can be cash and time expenditure, material costs, and social and environmental consequences of the implementation of the decisions. Each criterion has target functions with optimal values. The implementation of multi-criteria decisions is a difficult task. The article deals with increasing and decreasing parts of the target function and assesses the optimal solution by a factor of efficiency. It takes into account the impact of variables on the target function, and identifies the function deviations from replacement of optimal values. It is proposed to consider the priorities for each criterion. The solution obtained makes it possible to convert the problem to a single-criterion problem. The article describes computation for compromise solutions in view of the criteria considered on the example of the cost of construction projects. The example of the two target functions is given: one function shows the number of apartments, and the other - their value. Through calculations, the generalized target function gets an optimum value. It is expected that in the general case the priority optimum solutions by selected criteria will be used. Possible solutions are compared with the permissible value of the target function. When the sets of particular solutions are stochastic, compromise solutions are effective for the some blocks of a problem.